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Story highlights

Kim Davis appeals the contempt of court ruling that put her jail

Davis, a Christian, says she has religious objections to same-sex marriage

(CNN)Kim Davis, the Kentucky clerk who's refused to issue same-sex marriage licenses, has appealed the contempt of court ruling that landed her in jail last week, according to court documents obtained by CNN.

"While most Americans are enjoying the extended holiday weekend with family and friends, Kim Davis sits in isolation for the fourth day in jail," her attorney, Mat Staver, said in a statement Sunday. "We are working through the holiday to secure Kim's freedom."

Davis had refused to give licenses to same-sex couples after June's Supreme Court decision on grounds that issuing the licenses would violate her Christian convictions against same-sex marriage.

A federal judge ordered her to jail Thursday, ruling she was in contempt of court for refusing to issue the licenses and not allowing her deputies to distribute them for her.

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U.S. District Judge David Bunning said Davis would remain behind bars until she complies. Five of her deputies agreed Thursday to issue marriage licenses in her absence and the Rowan County Clerk's Office began doing so the following day.

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How long will Davis stay in jail?

Staver said Davis has no plans to resign and would remain in jail until a compromise is reached. He said his client would be willing to issue licenses if her name and title were not on them.

Davis' husband, Joe, told reporters Friday that his wife was willing to stay in jail until that proposed compromise happened.

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The legislature could pass a law removing clerks' names from the licenses, but it won't be in session until January.

Beshear said last week he won't call lawmakers for a special session to deal with the issue, adding that to do so would cost "hundreds of thousands of dollars of taxpayers' money."

Deputies take over

Beshear on Thursday welcomed the news that Davis' deputies agreed to issue the licenses.

"The future of the Rowan County Clerk continues to be a matter between her and the courts. Deputy clerks have said they will commence issuing marriage licenses beginning (Friday)," he said. "It appears that the citizens of Rowan County will now have access to all the services from the clerk's office to which they are entitled."

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A federal prosecutor said it was time for Davis and her county to comply.

"Government officials are free to disagree with the law, but not disobey it," U.S. Attorney Kerry B. Harvey said in a statement. "The county clerk has presented her position through the federal court system, all of the way to the U.S. Supreme Court. It is time for the clerk and the county to follow the law."

Bunning said he, too, was religious, but he explained that when he took his oath to become a judge, that oath trumped his personal beliefs, CNN affiliate WKYT-TV reported.

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"Knowing Kim Davis and her strong Christian resolve and convictions, she may be jailed behind bars, but her conscience remains free," he told CNN's "The Lead with Jake Tapper" on Thursday.

Daniel Canon, an attorney who was working with the ACLU on the case against Davis, said his clients had not asked for Davis to be jailed. But now that she is, he said, there should be "some assurance that Ms. Davis is not going to continue to impose her religious beliefs."

Ryan Anderson, a senior research fellow at the Heritage Foundation, a Washington-based conservative think tank, said the legislature should remove clerks' names from the licenses as Davis has asked.

"Hopefully she'll get out of jail because the state of Kentucky will realize that there are compromises we can reach that will protect both the rights of gays and lesbians to receive marriage licenses and the rights of someone like Kim Davis not to have her name on that marriage license," he said.

Anderson acknowledged that Davis could resign, but he said she shouldn't have to.

"We have a rich history in the United States of accommodating conscientious objectors," Anderson said. "Kentucky accommodates conscientious objectors for other types of licensings. ... The question should be: If we can accommodate someone, why shouldn't we?"